Basic Physics · SHS3 Physics

Lesson notes

Learning Objectives

Indicator: 3.1.1.LI.2 - Deduce the relationship between acceleration due to gravity g and universal gravitational constant G.

By the end of the lesson, learners can:

State the symbols, units and meanings of g, G and R as used in the gravitation equations.
Derive the expression g = GM/R² by equating the gravitational force on a body to its weight.
Substitute numerical values for G, M and R to calculate the acceleration due to gravity on the surface of the Earth.
Explain how the value of g depends on the mass and radius of a planet and use this to compare g on Earth with g on the Moon or other bodies.
Apply the relationship g = GM/R² to solve problems involving height above the Earth’s surface (g at altitude) or the mass of a planet given g and R.

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Curriculum details

Strand: Mechanics and Matter (Strand 1)
Sub-strand: Basic Physics (1.1)
Content standard: 3.1.1.CS.2 - Demonstrate knowledge and understanding of gravitation. 3.1.1.LO.2 Explain the concept of gravitation.
Indicator: 3.1.1.LI.2 - Deduce the relationship between acceleration due to gravity g and universal gravitational constant G.
Suggested placement: Semester 1, Week 4 (Week 4 of the year)
Our suggestion, laid out in curriculum order across three terms of twelve weeks. NaCCA does not fix the week, so follow your school's scheme of learning.
Curriculum reference: NaCCA curriculum document, p. 151

Exemplars (from the NaCCA curriculum)

Enquiry learning: Learners develop the relationship between acceleration due to gravity g and the universal gravitational constant G and the radius of the earth R
Guide students to interrogate their misconceptions and biases about the gravitation.
Assessment (3.1.1.AS.2). The document marks these depth-of-knowledge levels for this indicator: Level 2 Skills of conceptual understanding.
Teaching and Learning Resources:
- Audio-visuals
- PhET interactive simulations
- Internet, projectors
- Laptop/computer
- YouTube
- Field visit
- Reference books